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Finding the Third Proportional to 37,512 and 88,549

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Solution

The third proportional to 37,512 and 88,549 is: 209,024.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,512 : 88,549 = 88,549 : x
  2. Step 2: Convert to fraction form
    37,512/88,549 = 88,549/x
  3. Step 3: Cross multiply
    37,512x = 88,549 × 88,549
  4. Step 4: Simplify right side
    37,512x = 7,840,925,401
  5. Step 5: Solve for x
    x = 7,840,925,401/37,512
  6. Step 6: Final answer
    x = 209,024.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.